Abstract: There is a close relationship between Data Envelopment Analysis(DEA) and Game Theory.In traditional DEA models,the inter-relationship among decision making units(DMUs) is ignored,and the loose limit on weights makes it difficult to evaluate rationally the efficiency value of DMU.Therefore,introducing the Game Theory to DEA model and probing DEA Game research,will not only benefit the development of DEA theory,but greatly extend the research for the application of Game Theory.In the paper,three phases of DEA Game resear chare summarized and reviewed:(1) explanation of DEA with Game Theory;(2) DEA Game models and their application;(3) DEA Efficiency Game.Based on the in depth analy ses of important DEA Game models,the evolvement of DEA Game research is outlined to promote the development for the theory and application of DEA.

Key words: data envelopment analysis, game theory, efficiency evaluation, model